Eyring-Kramers law for Fokker-Planck type differential operators
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BONY, Jean-François | |
hal.structure.identifier | Institut Denis Poisson [IDP] | |
dc.contributor.author | LE PEUTREC, Dorian | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | MICHEL, Laurent | |
dc.date.accessioned | 2024-04-04T02:42:58Z | |
dc.date.available | 2024-04-04T02:42:58Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191294 | |
dc.description.abstractEn | We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable resolvent estimates, we prove Eyring-Kramers formulas for the bottom of the spectrum of these operators in the low temperature regime. Our approach is based on the construction of sharp Gaussian quasimodes which avoids supersymmetry or PT-symmetry assumptions. | |
dc.language.iso | en | |
dc.title.en | Eyring-Kramers law for Fokker-Planck type differential operators | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-03513124 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03513124v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONY,%20Jean-Fran%C3%A7ois&LE%20PEUTREC,%20Dorian&MICHEL,%20Laurent&rft.genre=preprint |
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